A micro–macro constitutive model for rock considering breakage effects
The paper proposes a three-scale binary medium-based constitutive model on the basis of the meso structures and micro components to describe the elasto-plastic mechanical behavior of mudstone samples. Based on the breakage mechanism of geomaterials, mudstone samples are considered as two different m...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | International Journal of Mining Science and Technology |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095268622001574 |
| _version_ | 1811162728381808640 |
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| author | Di Yu Enlong Liu Bo Xiang Yunyong He Fei Luo Chuan He |
| author_facet | Di Yu Enlong Liu Bo Xiang Yunyong He Fei Luo Chuan He |
| author_sort | Di Yu |
| collection | DOAJ |
| description | The paper proposes a three-scale binary medium-based constitutive model on the basis of the meso structures and micro components to describe the elasto-plastic mechanical behavior of mudstone samples. Based on the breakage mechanism of geomaterials, mudstone samples are considered as two different materials (bonded and frictional elements) at mesoscales. From micro to meso scales, given the similar but different mineralogy composition and porosity of the bonded and frictional elements at microscale, as well as their separate mechanical characteristics, different homogenization methods are adopted to obtain their respective meso mechanical properties. At the mesoscale, in view of the unique meso structures and the continuous material transformation, the extended self-consistent scheme (SCS) is improved to be adaptable to elasto-plastic composites with varying meso components. With the consideration of the evolution form of the breakage ratio under the external loading being given based on the assumed strength distribution of the meso bonded elements, the mechanical relations between meso and macro scales are established. Finally, on the basis of the mean-field method and combined with the critical mechanical connections between different scales, the micro-meso-macro constitutive model for mudstone samples are proposed. The model validation shows that, with a few model parameters, the proposed model can well reflect the stress and deformation features of mudstone samples with complex micro-components. |
| first_indexed | 2024-04-10T06:33:55Z |
| format | Article |
| id | doaj.art-4c3f37d763964b42830288df9b8f05c1 |
| institution | Directory Open Access Journal |
| issn | 2095-2686 |
| language | English |
| last_indexed | 2024-04-10T06:33:55Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Mining Science and Technology |
| spelling | doaj.art-4c3f37d763964b42830288df9b8f05c12023-03-01T04:31:27ZengElsevierInternational Journal of Mining Science and Technology2095-26862023-02-01332173184A micro–macro constitutive model for rock considering breakage effectsDi Yu0Enlong Liu1Bo Xiang2Yunyong He3Fei Luo4Chuan He5State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China; Institute for Disaster Management and Reconstruction, Sichuan University, Chengdu 610207, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China; Corresponding author.Highway Planning, Survey and Design Research Institute, Sichuan Provincial Transport Department, Chengdu 610041, ChinaHighway Planning, Survey and Design Research Institute, Sichuan Provincial Transport Department, Chengdu 610041, ChinaCollege of Civil Engineering, Sichuan Agricultural University, Chengdu 611830, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, ChinaThe paper proposes a three-scale binary medium-based constitutive model on the basis of the meso structures and micro components to describe the elasto-plastic mechanical behavior of mudstone samples. Based on the breakage mechanism of geomaterials, mudstone samples are considered as two different materials (bonded and frictional elements) at mesoscales. From micro to meso scales, given the similar but different mineralogy composition and porosity of the bonded and frictional elements at microscale, as well as their separate mechanical characteristics, different homogenization methods are adopted to obtain their respective meso mechanical properties. At the mesoscale, in view of the unique meso structures and the continuous material transformation, the extended self-consistent scheme (SCS) is improved to be adaptable to elasto-plastic composites with varying meso components. With the consideration of the evolution form of the breakage ratio under the external loading being given based on the assumed strength distribution of the meso bonded elements, the mechanical relations between meso and macro scales are established. Finally, on the basis of the mean-field method and combined with the critical mechanical connections between different scales, the micro-meso-macro constitutive model for mudstone samples are proposed. The model validation shows that, with a few model parameters, the proposed model can well reflect the stress and deformation features of mudstone samples with complex micro-components.http://www.sciencedirect.com/science/article/pii/S2095268622001574MicromechanicsBinary-medium modelMultiscale modelBreakage mechanismMudstone |
| spellingShingle | Di Yu Enlong Liu Bo Xiang Yunyong He Fei Luo Chuan He A micro–macro constitutive model for rock considering breakage effects International Journal of Mining Science and Technology Micromechanics Binary-medium model Multiscale model Breakage mechanism Mudstone |
| title | A micro–macro constitutive model for rock considering breakage effects |
| title_full | A micro–macro constitutive model for rock considering breakage effects |
| title_fullStr | A micro–macro constitutive model for rock considering breakage effects |
| title_full_unstemmed | A micro–macro constitutive model for rock considering breakage effects |
| title_short | A micro–macro constitutive model for rock considering breakage effects |
| title_sort | micro macro constitutive model for rock considering breakage effects |
| topic | Micromechanics Binary-medium model Multiscale model Breakage mechanism Mudstone |
| url | http://www.sciencedirect.com/science/article/pii/S2095268622001574 |
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